Problem stringlengths 5 967 | category class label 6
classes |
|---|---|
on dividing a number by 5 , we get 2 as quotient and 0 as remainder . on dividing the same number by 4 , what will be the remainder ? | 0general |
two tains of equal lengths take 10 seconds and 16 seconds respectively to cross a telegraph post . if the length of each train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ? | 1physics |
how many paying stones , each measuring 2 m * 1 m are required to pave a rectangular court yard 30 m long and 16 m board ? | 1physics |
the circumferences of two circles are 268 meters and 380 meters . find the difference between the areas of the larger and the smaller circles . | 3geometry |
if teena is driving at 55 miles per hour and is currently 7.5 miles behind roe , who is driving at 40 miles per hour in the same direction then in how many minutes will teena be 15 miles ahead of roe ? | 1physics |
the difference between the local value and the face value of 3 in the numeral 62975143 is | 0general |
the expression x # y denotes the product of the consecutive multiples of 3 between x and y , inclusive . what is the sum of the exponents in the prime factorization of 21 # 36 ? | 0general |
a grocer has a sale of rs . 435 , rs . 927 , rs . 855 , rs . 230 and rs . 562 for 5 consecutive days . how much sale must he have in the sixth day so that he gets an average sale of rs . 625 ? | 0general |
find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 13 cm . | 1physics |
the monthly rent of a shop of dimension 10 feet × 8 feet is rs . 2400 . what is the annual rent per square foot of the shop ? | 3geometry |
find compound interest on $ 12000 at 15 % per annum for 2 years 4 months , compounded annually . | 2gain |
after decreasing 24 % in the price of an article costs rs . 320 . find the actual cost of an article ? | 2gain |
in a group of 800 people , 1 / 5 play at least one instrument , 32 play two or more . what is the probability that one student play exactly one instrument ? | 0general |
teacher took exam for english , average for the entire class was 80 marks . if we say that 10 % of the students scored 95 marks and 20 % scored 90 marks then calcualte average marks of the remaining students of the class . | 0general |
a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 2000 more than d , what is b ' s share ? | 0general |
what is the square root of 324 ? | 5other |
a and b together have rs . 1210 . if of a ' s amount is equal to of b ' s amount , how much amount does b have ? | 0general |
4 weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 10 weavers in 10 days ? | 2gain |
if a trader sold two cars each at rs . 404415 and gains 15 % on the first and loses 15 % on the second , then his profit or loss percent on the whole is ? | 2gain |
robert ate 10 chocolates , nickel ate 5 chocolates . how many more chocolates did robert ate than nickel ? | 0general |
if a + b = − 9 , and a = 30 / b , what is the value of a ^ 2 + b ^ 2 ? | 0general |
a basket contains 6 apples , of which 1 is spoiled and the rest are good . if we select 2 apples from the basket simultaneously and at random , what is the probability that the 2 apples selected will include the spoiled apple ? | 4probability |
if f ( x ) = 2 x ^ 2 + y , and f ( 2 ) = 60 , what is the value of f ( 5 ) ? | 0general |
a sum of money at simple interest amounts to rs . 815 in 3 years and to rs . 884 in 4 years . the sum is : | 2gain |
if n divided by 7 has a remainder of 2 , what is the remainder when 2 times n is divided by 7 ? | 0general |
sale of rs 6835 , rs . 9927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs , 6900 ? | 0general |
if 60 percent of 600 is 50 percent of x , then x = ? | 0general |
the length of the bridge , which a train 145 m long and traveling at 45 km / hr can cross in 30 sec is ? | 1physics |
a $ 89.95 lawn chair was sold for $ 59.95 at a special sale . by approximately what percent was the price decreased ? | 0general |
a money lender lent rs . 1000 at 3 % per year and rs . 1400 at 5 % per year . the amount should be returned to him when the total interest comes to rs . 390 . find the number of years . | 2gain |
company c produces toy trucks at a cost of $ 5.00 each for the first 100 trucks and $ 3.50 for each additional truck . if 500 toy trucks were produced by company c and sold for $ 12.00 each , what was company c ’ s gross profit ? | 2gain |
a certain rectangular window is three times as long as it is wide . if its perimeter is 32 feet , what are its dimensions in terms of length by width ? | 3geometry |
a car averages 50 mph for the first 4 hours of a trip and averages 80 mph for each additional hour . the average speed for the entire trip was 65 mph . how many hours long is the trip ? | 0general |
a sum of rs . 1000 at simple interest amounts to rs . 1192 in 4 years . the s . i . for 1 year is : | 2gain |
a shopkeeper sells his goods at cost price but uses a faulty meter that weighs 900 grams . find the profit percent . | 2gain |
if 0.5 % of a = 75 paise , then the value of a is ? | 2gain |
if | 4 x + 6 | = 46 , what is the sum of all the possible values of x ? | 0general |
( √ 27 + √ 192 ) / √ 54 = ? | 0general |
60 % of x is greater than 1 / 3 rd of x by 110 . what is x ? | 0general |
a train traveling at 72 kmph crosses a platform in 32 seconds and a man standing on the platform in 18 seconds . what is the length of the platform in meters ? | 1physics |
a man buys a cycle for rs . 1400 and sells it at a loss of 5 % . what is the selling price of the cycle ? | 2gain |
the population of a bacteria colony doubles every day . if it was started 5 days ago with 2 bacteria and each bacteria lives for 12 days , how large is the colony today ? | 1physics |
a goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 36 seconds . what is the length of the goods train ? | 1physics |
if an integer n is to be selected at random from 1 to 900 , inclusive , what is probability n ( n + 1 ) will be divisible by 9 ? | 0general |
find the sum the difference between the compound and s . i . on a certain sum of money for 2 years at 10 % per annum is rs . 100 of money ? | 0general |
45 workers work 8 hours to dig a hole 30 meters deep . how many extra workers should be hired to dig another hole 45 meters deep by working for 6 hours ? | 1physics |
if p / q = 4 / 5 , then the value of 4 / 7 + { ( 2 q - p ) / ( 2 q + p ) } is ? | 0general |
patrick purchased 70 pencils and sold them at a loss equal to the selling price of 20 pencils . the cost of 70 pencils is how many times the selling price of 70 pencils ? | 0general |
3 men and 8 women complete a task in same time as 6 men and 2 women do . how much fraction of work will be finished in same time if 4 men and 5 women will do that task . | 1physics |
40 % of x is greater than 1 / 3 rd of x by 110 . what is x ? | 0general |
the ratio of boarders to day students at a school was originally 5 to 12 . however , after a number of new boarders join the initial 330 boarders , the ratio changed to 1 to 2 . if no boarders became day students and vice versa , and no students left the school , how many new boarders joined the school ? | 5other |
a flagpole 18 meters high casts a shadow of length 45 meters . if a building under similar conditions casts a shadow of length 70 meters , what is the height of the building ( in meters ) ? | 1physics |
the average weight of a group of boys is 20 kg . after a boy of weight 33 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ? | 0general |
presently the ratio between the ages of dan and james is 6 : 5 . after 4 years dan will be 28 . what is the present age of james ? | 5other |
the sum of two numbers is 62 , and one of them is 12 more than the other . what are the two numbers ? | 0general |
a tank is filled by 3 pipes a , b , c in 5 hours . pipe c is twice as fast as b and b is twice as fast as a . how much will pipe a alone take to fill the tank ? | 1physics |
if 12 men and 16 boys can do a piece of work in 5 days ; 13 men and 24 boys can do it in 4 days , then the ratio of the daily work done by a man to that of a boy is ? | 1physics |
a certain company ’ s profit in 1996 was 20 percent greater than its profit in 1995 , and its profit in 1997 was 20 percent greater than its profit in 1996 . the company ’ s profit in 1997 was what percent greater than its profit in 1995 ? | 2gain |
a cycle is bought for rs . 670 and sold for rs . 880 , find the gain percent ? | 2gain |
a certain no . when divided by 20 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ? | 0general |
the s . i . on a certain sum of money for 6 years at 14 % per annum is half the c . i . on rs . 7000 for 2 years at 7 % per annum . the sum placed on s . i . is ? | 2gain |
selling an kite for rs . 30 , a shop keeper gains 20 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ? | 2gain |
a fruit seller sells mangoes at the rate of rs . 10 per kg and thereby loses 15 % . at what price per kg , he should have sold them to make a profit of 5 % | 2gain |
a certain galaxy is known to comprise approximately 3 x 10 ^ 11 stars . of every 50 million of these stars , one is larger in mass than our sun . approximately how many stars in this galaxy are larger than the sun ? | 0general |
a hostel had provisions for 250 men for 32 days . if 50 men left the hostel , how long will the food last at the same rate ? | 2gain |
a cube has a volume of 216 cubic feet . if a similar cube is twice as long , twice as wide , and twice as high , then the volume , in cubic feet of such cube is ? | 3geometry |
how many different values of positive integer x , for which | x + 5 | < x , are there ? | 0general |
if a speaks the truth 80 % of the times , b speaks the truth 60 % of the times . what is the probability that they tell the truth at the same time | 2gain |
tickets numbered from 1 to 27 are mixed and then a ticket is selected randomly . what is the probability that the selected ticket bears a number which is a multiple of 3 ? | 0general |
a man can row downstream at the rate of 12 km / hr and upstream at 6 km / hr . find man ' s rate in still water and the rate of current ? | 2gain |
if a is an integer greater than 7 but less than 25 and b is an integer greater than 34 but less than 44 , what is the range of a / b ? | 0general |
if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 55 , what is the compound interest on the same sum at the rate and for the same time ? | 2gain |
if 2 ^ ( 2 w ) = 8 ^ ( w − 4 ) , what is the value of w ? | 0general |
a is twice as good as b . and together they finish a piece of work in 18 days . in how many days will a alone finish the work | 1physics |
what is the local value of 7 in the difference of 100889 and local value of 3 in 28943712 ? | 0general |
everyone shakes hands with everyone else in a room . total number of handshakes is 55 . number of persons = ? | 0general |
what will be the fraction of 4 % | 2gain |
the least number which must be subtracted from 670 to make it exactly divisible by 9 is : | 0general |
three unbiased coins are tossed . what is the probability of getting 2 heads and 2 tail ? | 4probability |
in an election a candidate who gets 84 % of the votes is elected by a majority of 476 votes . what is the total number of votes polled ? | 2gain |
3 numbers are in the ratio 5 : 6 : 8 . the sum of its longest and smallest numbers equals the sum of the third number and 49 . find the third number ? | 0general |
the price of an item changed from $ 120 to $ 100 . then later the price decreased again from $ 100 to $ 80 . which of the two decreases was larger in percentage term ? | 2gain |
what is the next number : 3 , 11 , 83 , __ | 0general |
a man sells a car to his friend at 14 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was : | 2gain |
a dishonest shopkeeper professes to sell pulses at the cost price , but he uses a false weight of 960 gm . for a kg . his gain is … % . | 2gain |
if two sides of a triangle have lengths 3 and 8 , which of the following could be the perimeter of the triangle ? i . 9 ii . 15 iii . 19 | 3geometry |
increasing the original price of an article by 10 percent and then increasing the new price by 10 percent is equivalent to increasing the original price by | 2gain |
a can run 1.5 km distance in 2 min 20 seconds , while b can run this distance in 2 min 30 sec . by how much distance can a beat b ? | 1physics |
a 6 % stock yields 8 % . the market value of the stock is ? | 2gain |
if y is the smallest positive integer such that 6300 multiplied by y is the square of an integer , then y must be | 3geometry |
if the farmer sells 75 of his chickens , his stock of feed will last for 20 more days than planned , but if he buys 100 more chickens , he will run out of feed 15 days earlier than planned . if no chickens are sold or bought , the farmer will be exactly on schedule . how many chickens does the farmer have ? | 0general |
if the average of t , b , c , 14 and 15 is 12 . what is the average value of t , b , c and 29 | 0general |
a square of 2 unit is given and four circles are made on its corners having equal radius of each . and another circle of equal radius is made on the center of the square . find out the area of square which is not covered by circles ? | 3geometry |
sachin is younger than rahul by 6 years . if the ratio of their ages is 7 : 9 , find the age of sachin | 5other |
31 of the scientists that attended a certain workshop were wolf prize laureates , and 13 of these 31 were also nobel prize laureates . of the scientists that attended that workshop and had not received the wolf prize , the number of scientists that had received the nobel prize was 3 greater than the number of scientists that had not received the nobel prize . if 51 of the scientists attended that workshop , how many of them were nobel prize laureates ? | 1physics |
a rectangular lawn of length 200 m by 120 m has two roads running along its center , one along the length and the other along the width . if the width of the roads is 5 m what is the area covered by the two roads ? | 3geometry |
if p # q denotes the least common multiple of p and q , then q = ( ( 12 # 16 ) # ( 18 # 24 ) ) = ? | 0general |
the difference between a two - digit number and the number obtained by interchanging the digits is 9 . what is the difference between the two digits of the number ? | 0general |
81 , 64 , 27 , 16 . . . | 0general |
set x consists of all two - digit primes and set y consists of all positive odd multiples of 7 less than 100 . if the two sets are combined into one , what will be the range of the new set ? | 0general |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.